TY - JOUR
T1 - Nonlinear dynamic characterization of two-dimensional materials
AU - Davidovikj, Dejan
AU - Alijani, Farbod
AU - Cartamil Bueno, Santiago
AU - van der Zant, Herre
AU - Amabili, M.
AU - Steeneken, Peter
PY - 2017
Y1 - 2017
N2 - Owing to their atomic-scale thickness, the resonances of two-dimensional (2D) material membranes show signatures of nonlinearities at forces of only a few picoNewtons. Although the linear dynamics of membranes is well understood, the exact relation between the nonlinear response and the resonator's material properties has remained elusive. Here we show a method for determining the Young's modulus of suspended 2D material membranes from their nonlinear dynamic response. To demonstrate the method, we perform measurements on graphene and MoS2 nanodrums electrostatically driven into the nonlinear regime at multiple driving forces. We show that a set of frequency response curves can be fitted using only the cubic spring constant as a fit parameter, which we then relate to the Young's modulus of the material using membrane theory. The presented method is fast, contactless, and provides a platform for high-frequency characterization of the mechanical properties of 2D materials.
AB - Owing to their atomic-scale thickness, the resonances of two-dimensional (2D) material membranes show signatures of nonlinearities at forces of only a few picoNewtons. Although the linear dynamics of membranes is well understood, the exact relation between the nonlinear response and the resonator's material properties has remained elusive. Here we show a method for determining the Young's modulus of suspended 2D material membranes from their nonlinear dynamic response. To demonstrate the method, we perform measurements on graphene and MoS2 nanodrums electrostatically driven into the nonlinear regime at multiple driving forces. We show that a set of frequency response curves can be fitted using only the cubic spring constant as a fit parameter, which we then relate to the Young's modulus of the material using membrane theory. The presented method is fast, contactless, and provides a platform for high-frequency characterization of the mechanical properties of 2D materials.
UR - http://resolver.tudelft.nl/uuid:1df11107-8887-493c-9173-fdae6394d4d6
UR - http://www.scopus.com/inward/record.url?scp=85032681917&partnerID=8YFLogxK
U2 - 10.1038/s41467-017-01351-4
DO - 10.1038/s41467-017-01351-4
M3 - Article
SN - 2041-1723
VL - 8
JO - Nature Communications
JF - Nature Communications
IS - 1
M1 - 1253
ER -